Solve matrices using Gaussian elimination or...

Gauss-Jordan elimination.

This is a word problem and I'm not very good at these, so please help.

eAuction.com spent a total of $11 million on advertising in fiscal years 2001, 2002, and 2003. The amount spent in 2003 was 3 times the amount spent in 2001. The amount spent in 2002 was $3 million less than the amount spent in 2003. How much was spent on advertising each year?

I'm not sure if this is how I should proceed but this is a far as my brain would stretch...

x = 2001
y = 2002
z = 2003

x + y + z = $11 million

I'm rambling here:

3z - x = ?

z - 3,000,000 = y

How do you use Gaussian elimination or Gauss-Jordan elimination to solve this? Thanks in advance.

This is a word problem and I'm not very good at these, so please help.

eAuction.com spent a total of $11 million on advertising in fiscal years 2001, 2002, and 2003. The amount spent in 2003 was 3 times the amount spent in 2001. The amount spent in 2002 was $3 million less than the amount spent in 2003. How much was spent on advertising each year?

I'm not sure if this is how I should proceed but this is a far as my brain would stretch...

x = 2001
y = 2002
z = 2003

x + y + z = $11 million

I'm rambling here:

3z - x = ?

z - 3,000,000 = y

How do you use Gaussian elimination or Gauss-Jordan elimination to solve this? Thanks in advance.

matrices are a pain to type. ok, first one of your equations are incorrect. let's work this guy out.

let x be the amount spent in 2001
let y be the amount spent in 2002
let z be the amount spent in 2003

So we perform Guass-Jordan elimination to transform the matrix on the left to reduced row-echelon form. I'm getting tired of typing matrices, so i will just skip to the interesting part. if you are uncomfortable with the steps, say so, and i'll show them some time later on when i'm in the mood.

So we perform Guass-Jordan elimination to transform the matrix on the left to reduced row-echelon form. I'm getting tired of typing matrices, so i will just skip to the interesting part. if you are uncomfortable with the steps, say so, and i'll show them some time later on when i'm in the mood.